A Data-Driven Approach for Inverse Optimal Control Article Swipe

PDF

Zihao Liang , Wenjian Hao , Shaoshuai Mou ·

YOU? · · 2023 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2304.00100

This paper proposes a data-driven, iterative approach for inverse optimal control (IOC), which aims to learn the objective function of a nonlinear optimal control system given its states and inputs. The approach solves the IOC problem in a challenging situation when the system dynamics is unknown. The key idea of the proposed approach comes from the deep Koopman representation of the unknown system, which employs a deep neural network to represent observables for the Koopman operator. By assuming the objective function to be learned is parameterized as a linear combination of features with unknown weights, the proposed approach for IOC is able to achieve a Koopman representation of the unknown dynamics and the unknown weights in objective function together. Simulation is provided to verify the proposed approach.

Related Topics

Artificial Intelligence

Concepts

Representation (politics) Parameterized complexity Operator (biology) Computer science Optimal control Function (biology) Nonlinear system Key (lock) Artificial neural network Inverse Mathematical optimization Control (management) Control theory (sociology) Mathematics Algorithm Artificial intelligence Political science Biochemistry Chemistry Physics Gene Quantum mechanics Computer security Transcription factor Biology Repressor Politics Evolutionary biology Law Geometry

Metadata

Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2304.00100
PDF: https://arxiv.org/pdf/2304.00100
OA Status: green
Related Works: 10
OpenAlex ID: https://openalex.org/W4362597940

All OpenAlex metadata

Raw OpenAlex JSON

OpenAlex ID: https://openalex.org/W4362597940

Canonical identifier for this work in OpenAlex
DOI: https://doi.org/10.48550/arxiv.2304.00100

Digital Object Identifier
Title: A Data-Driven Approach for Inverse Optimal Control

Work title
Type: preprint

OpenAlex work type
Language: en

Primary language
Publication year: 2023

Year of publication
Publication date: 2023-03-31

Full publication date if available
Authors: Zihao Liang, Wenjian Hao, Shaoshuai Mou

List of authors in order
Landing page: https://arxiv.org/abs/2304.00100

Publisher landing page
PDF URL: https://arxiv.org/pdf/2304.00100

Direct link to full text PDF
Open access: Yes

Whether a free full text is available
OA status: green

Open access status per OpenAlex
OA URL: https://arxiv.org/pdf/2304.00100

Direct OA link when available
Concepts: Representation (politics), Parameterized complexity, Operator (biology), Computer science, Optimal control, Function (biology), Nonlinear system, Key (lock), Artificial neural network, Inverse, Mathematical optimization, Control (management), Control theory (sociology), Mathematics, Algorithm, Artificial intelligence, Political science, Biochemistry, Chemistry, Physics, Gene, Quantum mechanics, Computer security, Transcription factor, Biology, Repressor, Politics, Evolutionary biology, Law, Geometry

Top concepts (fields/topics) attached by OpenAlex
Cited by: 0

Total citation count in OpenAlex
Related works (count): 10

Other works algorithmically related by OpenAlex

Full payload

id	https://openalex.org/W4362597940
doi	https://doi.org/10.48550/arxiv.2304.00100
ids.doi	https://doi.org/10.48550/arxiv.2304.00100
ids.openalex	https://openalex.org/W4362597940
fwci
type	preprint
title	A Data-Driven Approach for Inverse Optimal Control
biblio.issue
biblio.volume
biblio.last_page
biblio.first_page
topics[0].id	https://openalex.org/T11206
topics[0].field.id	https://openalex.org/fields/31
topics[0].field.display_name	Physics and Astronomy
topics[0].score	0.9987000226974487
topics[0].domain.id	https://openalex.org/domains/3
topics[0].domain.display_name	Physical Sciences
topics[0].subfield.id	https://openalex.org/subfields/3109
topics[0].subfield.display_name	Statistical and Nonlinear Physics
topics[0].display_name	Model Reduction and Neural Networks
topics[1].id	https://openalex.org/T10791
topics[1].field.id	https://openalex.org/fields/22
topics[1].field.display_name	Engineering
topics[1].score	0.9857000112533569
topics[1].domain.id	https://openalex.org/domains/3
topics[1].domain.display_name	Physical Sciences
topics[1].subfield.id	https://openalex.org/subfields/2207
topics[1].subfield.display_name	Control and Systems Engineering
topics[1].display_name	Advanced Control Systems Optimization
topics[2].id	https://openalex.org/T11236
topics[2].field.id	https://openalex.org/fields/22
topics[2].field.display_name	Engineering
topics[2].score	0.9825000166893005
topics[2].domain.id	https://openalex.org/domains/3
topics[2].domain.display_name	Physical Sciences
topics[2].subfield.id	https://openalex.org/subfields/2207
topics[2].subfield.display_name	Control and Systems Engineering
topics[2].display_name	Control Systems and Identification
is_xpac	False
apc_list
apc_paid
concepts[0].id	https://openalex.org/C2776359362
concepts[0].level	3
concepts[0].score	0.7479461431503296
concepts[0].wikidata	https://www.wikidata.org/wiki/Q2145286
concepts[0].display_name	Representation (politics)
concepts[1].id	https://openalex.org/C165464430
concepts[1].level	2
concepts[1].score	0.7270708084106445
concepts[1].wikidata	https://www.wikidata.org/wiki/Q1570441
concepts[1].display_name	Parameterized complexity
concepts[2].id	https://openalex.org/C17020691
concepts[2].level	5
concepts[2].score	0.6298515200614929
concepts[2].wikidata	https://www.wikidata.org/wiki/Q139677
concepts[2].display_name	Operator (biology)
concepts[3].id	https://openalex.org/C41008148
concepts[3].level	0
concepts[3].score	0.5860192775726318
concepts[3].wikidata	https://www.wikidata.org/wiki/Q21198
concepts[3].display_name	Computer science
concepts[4].id	https://openalex.org/C91575142
concepts[4].level	2
concepts[4].score	0.5424500107765198
concepts[4].wikidata	https://www.wikidata.org/wiki/Q1971426
concepts[4].display_name	Optimal control
concepts[5].id	https://openalex.org/C14036430
concepts[5].level	2
concepts[5].score	0.5347833633422852
concepts[5].wikidata	https://www.wikidata.org/wiki/Q3736076
concepts[5].display_name	Function (biology)
concepts[6].id	https://openalex.org/C158622935
concepts[6].level	2
concepts[6].score	0.5169198513031006
concepts[6].wikidata	https://www.wikidata.org/wiki/Q660848
concepts[6].display_name	Nonlinear system
concepts[7].id	https://openalex.org/C26517878
concepts[7].level	2
concepts[7].score	0.5038740038871765
concepts[7].wikidata	https://www.wikidata.org/wiki/Q228039
concepts[7].display_name	Key (lock)
concepts[8].id	https://openalex.org/C50644808
concepts[8].level	2
concepts[8].score	0.4916852116584778
concepts[8].wikidata	https://www.wikidata.org/wiki/Q192776
concepts[8].display_name	Artificial neural network
concepts[9].id	https://openalex.org/C207467116
concepts[9].level	2
concepts[9].score	0.45351850986480713
concepts[9].wikidata	https://www.wikidata.org/wiki/Q4385666
concepts[9].display_name	Inverse
concepts[10].id	https://openalex.org/C126255220
concepts[10].level	1
concepts[10].score	0.4478083550930023
concepts[10].wikidata	https://www.wikidata.org/wiki/Q141495
concepts[10].display_name	Mathematical optimization
concepts[11].id	https://openalex.org/C2775924081
concepts[11].level	2
concepts[11].score	0.4161268472671509
concepts[11].wikidata	https://www.wikidata.org/wiki/Q55608371
concepts[11].display_name	Control (management)
concepts[12].id	https://openalex.org/C47446073
concepts[12].level	3
concepts[12].score	0.3771297335624695
concepts[12].wikidata	https://www.wikidata.org/wiki/Q5165890
concepts[12].display_name	Control theory (sociology)
concepts[13].id	https://openalex.org/C33923547
concepts[13].level	0
concepts[13].score	0.3607819676399231
concepts[13].wikidata	https://www.wikidata.org/wiki/Q395
concepts[13].display_name	Mathematics
concepts[14].id	https://openalex.org/C11413529
concepts[14].level	1
concepts[14].score	0.34543365240097046
concepts[14].wikidata	https://www.wikidata.org/wiki/Q8366
concepts[14].display_name	Algorithm
concepts[15].id	https://openalex.org/C154945302
concepts[15].level	1
concepts[15].score	0.2908777892589569
concepts[15].wikidata	https://www.wikidata.org/wiki/Q11660
concepts[15].display_name	Artificial intelligence
concepts[16].id	https://openalex.org/C17744445
concepts[16].level	0
concepts[16].score	0.0
concepts[16].wikidata	https://www.wikidata.org/wiki/Q36442
concepts[16].display_name	Political science
concepts[17].id	https://openalex.org/C55493867
concepts[17].level	1
concepts[17].score	0.0
concepts[17].wikidata	https://www.wikidata.org/wiki/Q7094
concepts[17].display_name	Biochemistry
concepts[18].id	https://openalex.org/C185592680
concepts[18].level	0
concepts[18].score	0.0
concepts[18].wikidata	https://www.wikidata.org/wiki/Q2329
concepts[18].display_name	Chemistry
concepts[19].id	https://openalex.org/C121332964
concepts[19].level	0
concepts[19].score	0.0
concepts[19].wikidata	https://www.wikidata.org/wiki/Q413
concepts[19].display_name	Physics
concepts[20].id	https://openalex.org/C104317684
concepts[20].level	2
concepts[20].score	0.0
concepts[20].wikidata	https://www.wikidata.org/wiki/Q7187
concepts[20].display_name	Gene
concepts[21].id	https://openalex.org/C62520636
concepts[21].level	1
concepts[21].score	0.0
concepts[21].wikidata	https://www.wikidata.org/wiki/Q944
concepts[21].display_name	Quantum mechanics
concepts[22].id	https://openalex.org/C38652104
concepts[22].level	1
concepts[22].score	0.0
concepts[22].wikidata	https://www.wikidata.org/wiki/Q3510521
concepts[22].display_name	Computer security
concepts[23].id	https://openalex.org/C86339819
concepts[23].level	3
concepts[23].score	0.0
concepts[23].wikidata	https://www.wikidata.org/wiki/Q407384
concepts[23].display_name	Transcription factor
concepts[24].id	https://openalex.org/C86803240
concepts[24].level	0
concepts[24].score	0.0
concepts[24].wikidata	https://www.wikidata.org/wiki/Q420
concepts[24].display_name	Biology
concepts[25].id	https://openalex.org/C158448853
concepts[25].level	4
concepts[25].score	0.0
concepts[25].wikidata	https://www.wikidata.org/wiki/Q425218
concepts[25].display_name	Repressor
concepts[26].id	https://openalex.org/C94625758
concepts[26].level	2
concepts[26].score	0.0
concepts[26].wikidata	https://www.wikidata.org/wiki/Q7163
concepts[26].display_name	Politics
concepts[27].id	https://openalex.org/C78458016
concepts[27].level	1
concepts[27].score	0.0
concepts[27].wikidata	https://www.wikidata.org/wiki/Q840400
concepts[27].display_name	Evolutionary biology
concepts[28].id	https://openalex.org/C199539241
concepts[28].level	1
concepts[28].score	0.0
concepts[28].wikidata	https://www.wikidata.org/wiki/Q7748
concepts[28].display_name	Law
concepts[29].id	https://openalex.org/C2524010
concepts[29].level	1
concepts[29].score	0.0
concepts[29].wikidata	https://www.wikidata.org/wiki/Q8087
concepts[29].display_name	Geometry
keywords[0].id	https://openalex.org/keywords/representation
keywords[0].score	0.7479461431503296
keywords[0].display_name	Representation (politics)
keywords[1].id	https://openalex.org/keywords/parameterized-complexity
keywords[1].score	0.7270708084106445
keywords[1].display_name	Parameterized complexity
keywords[2].id	https://openalex.org/keywords/operator
keywords[2].score	0.6298515200614929
keywords[2].display_name	Operator (biology)
keywords[3].id	https://openalex.org/keywords/computer-science
keywords[3].score	0.5860192775726318
keywords[3].display_name	Computer science
keywords[4].id	https://openalex.org/keywords/optimal-control
keywords[4].score	0.5424500107765198
keywords[4].display_name	Optimal control
keywords[5].id	https://openalex.org/keywords/function
keywords[5].score	0.5347833633422852
keywords[5].display_name	Function (biology)
keywords[6].id	https://openalex.org/keywords/nonlinear-system
keywords[6].score	0.5169198513031006
keywords[6].display_name	Nonlinear system
keywords[7].id	https://openalex.org/keywords/key
keywords[7].score	0.5038740038871765
keywords[7].display_name	Key (lock)
keywords[8].id	https://openalex.org/keywords/artificial-neural-network
keywords[8].score	0.4916852116584778
keywords[8].display_name	Artificial neural network
keywords[9].id	https://openalex.org/keywords/inverse
keywords[9].score	0.45351850986480713
keywords[9].display_name	Inverse
keywords[10].id	https://openalex.org/keywords/mathematical-optimization
keywords[10].score	0.4478083550930023
keywords[10].display_name	Mathematical optimization
keywords[11].id	https://openalex.org/keywords/control
keywords[11].score	0.4161268472671509
keywords[11].display_name	Control (management)
keywords[12].id	https://openalex.org/keywords/control-theory
keywords[12].score	0.3771297335624695
keywords[12].display_name	Control theory (sociology)
keywords[13].id	https://openalex.org/keywords/mathematics
keywords[13].score	0.3607819676399231
keywords[13].display_name	Mathematics
keywords[14].id	https://openalex.org/keywords/algorithm
keywords[14].score	0.34543365240097046
keywords[14].display_name	Algorithm
keywords[15].id	https://openalex.org/keywords/artificial-intelligence
keywords[15].score	0.2908777892589569
keywords[15].display_name	Artificial intelligence
language	en
locations[0].id	pmh:oai:arXiv.org:2304.00100
locations[0].is_oa	True
locations[0].source.id	https://openalex.org/S4306400194
locations[0].source.issn
locations[0].source.type	repository
locations[0].source.is_oa	True
locations[0].source.issn_l
locations[0].source.is_core	False
locations[0].source.is_in_doaj	False
locations[0].source.display_name	arXiv (Cornell University)
locations[0].source.host_organization	https://openalex.org/I205783295
locations[0].source.host_organization_name	Cornell University
locations[0].source.host_organization_lineage	https://openalex.org/I205783295
locations[0].license	cc-by
locations[0].pdf_url	https://arxiv.org/pdf/2304.00100
locations[0].version	submittedVersion
locations[0].raw_type	text
locations[0].license_id	https://openalex.org/licenses/cc-by
locations[0].is_accepted	False
locations[0].is_published	False
locations[0].raw_source_name
locations[0].landing_page_url	http://arxiv.org/abs/2304.00100
locations[1].id	doi:10.48550/arxiv.2304.00100
locations[1].is_oa	True
locations[1].source.id	https://openalex.org/S4306400194
locations[1].source.issn
locations[1].source.type	repository
locations[1].source.is_oa	True
locations[1].source.issn_l
locations[1].source.is_core	False
locations[1].source.is_in_doaj	False
locations[1].source.display_name	arXiv (Cornell University)
locations[1].source.host_organization	https://openalex.org/I205783295
locations[1].source.host_organization_name	Cornell University
locations[1].source.host_organization_lineage	https://openalex.org/I205783295
locations[1].license	cc-by
locations[1].pdf_url
locations[1].version
locations[1].raw_type	article
locations[1].license_id	https://openalex.org/licenses/cc-by
locations[1].is_accepted	False
locations[1].is_published
locations[1].raw_source_name
locations[1].landing_page_url	https://doi.org/10.48550/arxiv.2304.00100
indexed_in	arxiv, datacite
authorships[0].author.id	https://openalex.org/A5031569047
authorships[0].author.orcid	https://orcid.org/0000-0003-3357-8880
authorships[0].author.display_name	Zihao Liang
authorships[0].author_position	first
authorships[0].raw_author_name	Liang, Zihao
authorships[0].is_corresponding	False
authorships[1].author.id	https://openalex.org/A5030939982
authorships[1].author.orcid
authorships[1].author.display_name	Wenjian Hao
authorships[1].author_position	middle
authorships[1].raw_author_name	Hao, Wenjian
authorships[1].is_corresponding	False
authorships[2].author.id	https://openalex.org/A5070733769
authorships[2].author.orcid	https://orcid.org/0000-0002-3698-4238
authorships[2].author.display_name	Shaoshuai Mou
authorships[2].author_position	last
authorships[2].raw_author_name	Mou, Shaoshuai
authorships[2].is_corresponding	False
has_content.pdf	True
has_content.grobid_xml	True
is_paratext	False
open_access.is_oa	True
open_access.oa_url	https://arxiv.org/pdf/2304.00100
open_access.oa_status	green
open_access.any_repository_has_fulltext	False
created_date	2025-10-10T00:00:00
display_name	A Data-Driven Approach for Inverse Optimal Control
has_fulltext	True
is_retracted	False
updated_date	2025-11-06T06:51:31.235846
primary_topic.id	https://openalex.org/T11206
primary_topic.field.id	https://openalex.org/fields/31
primary_topic.field.display_name	Physics and Astronomy
primary_topic.score	0.9987000226974487
primary_topic.domain.id	https://openalex.org/domains/3
primary_topic.domain.display_name	Physical Sciences
primary_topic.subfield.id	https://openalex.org/subfields/3109
primary_topic.subfield.display_name	Statistical and Nonlinear Physics
primary_topic.display_name	Model Reduction and Neural Networks
related_works	https://openalex.org/W2051058708, https://openalex.org/W1494268238, https://openalex.org/W154868527, https://openalex.org/W1983207144, https://openalex.org/W2490706771, https://openalex.org/W2480116122, https://openalex.org/W4255576661, https://openalex.org/W1516574938, https://openalex.org/W2563912921, https://openalex.org/W2407611282
cited_by_count	0
locations_count	2
best_oa_location.id	pmh:oai:arXiv.org:2304.00100
best_oa_location.is_oa	True
best_oa_location.source.id	https://openalex.org/S4306400194
best_oa_location.source.issn
best_oa_location.source.type	repository
best_oa_location.source.is_oa	True
best_oa_location.source.issn_l
best_oa_location.source.is_core	False
best_oa_location.source.is_in_doaj	False
best_oa_location.source.display_name	arXiv (Cornell University)
best_oa_location.source.host_organization	https://openalex.org/I205783295
best_oa_location.source.host_organization_name	Cornell University
best_oa_location.source.host_organization_lineage	https://openalex.org/I205783295
best_oa_location.license	cc-by
best_oa_location.pdf_url	https://arxiv.org/pdf/2304.00100
best_oa_location.version	submittedVersion
best_oa_location.raw_type	text
best_oa_location.license_id	https://openalex.org/licenses/cc-by
best_oa_location.is_accepted	False
best_oa_location.is_published	False
best_oa_location.raw_source_name
best_oa_location.landing_page_url	http://arxiv.org/abs/2304.00100
primary_location.id	pmh:oai:arXiv.org:2304.00100
primary_location.is_oa	True
primary_location.source.id	https://openalex.org/S4306400194
primary_location.source.issn
primary_location.source.type	repository
primary_location.source.is_oa	True
primary_location.source.issn_l
primary_location.source.is_core	False
primary_location.source.is_in_doaj	False
primary_location.source.display_name	arXiv (Cornell University)
primary_location.source.host_organization	https://openalex.org/I205783295
primary_location.source.host_organization_name	Cornell University
primary_location.source.host_organization_lineage	https://openalex.org/I205783295
primary_location.license	cc-by
primary_location.pdf_url	https://arxiv.org/pdf/2304.00100
primary_location.version	submittedVersion
primary_location.raw_type	text
primary_location.license_id	https://openalex.org/licenses/cc-by
primary_location.is_accepted	False
primary_location.is_published	False
primary_location.raw_source_name
primary_location.landing_page_url	http://arxiv.org/abs/2304.00100
publication_date	2023-03-31
publication_year	2023
referenced_works_count	0
abstract_inverted_index.a	3, 20, 37, 65, 87, 104
abstract_inverted_index.By	76
abstract_inverted_index.as	86
abstract_inverted_index.be	82
abstract_inverted_index.in	36, 115
abstract_inverted_index.is	44, 84, 100, 120
abstract_inverted_index.of	19, 49, 59, 90, 107
abstract_inverted_index.to	14, 69, 81, 102, 122
abstract_inverted_index.IOC	34, 99
abstract_inverted_index.The	30, 46
abstract_inverted_index.and	28, 111
abstract_inverted_index.for	7, 72, 98
abstract_inverted_index.its	26
abstract_inverted_index.key	47
abstract_inverted_index.the	16, 33, 41, 50, 55, 60, 73, 78, 95, 108, 112, 124
abstract_inverted_index.This	0
abstract_inverted_index.able	101
abstract_inverted_index.aims	13
abstract_inverted_index.deep	56, 66
abstract_inverted_index.from	54
abstract_inverted_index.idea	48
abstract_inverted_index.when	40
abstract_inverted_index.with	92
abstract_inverted_index.comes	53
abstract_inverted_index.given	25
abstract_inverted_index.learn	15
abstract_inverted_index.paper	1
abstract_inverted_index.which	12, 63
abstract_inverted_index.(IOC),	11
abstract_inverted_index.linear	88
abstract_inverted_index.neural	67
abstract_inverted_index.solves	32
abstract_inverted_index.states	27
abstract_inverted_index.system	24, 42
abstract_inverted_index.verify	123
abstract_inverted_index.Koopman	57, 74, 105
abstract_inverted_index.achieve	103
abstract_inverted_index.control	10, 23
abstract_inverted_index.employs	64
abstract_inverted_index.inputs.	29
abstract_inverted_index.inverse	8
abstract_inverted_index.learned	83
abstract_inverted_index.network	68
abstract_inverted_index.optimal	9, 22
abstract_inverted_index.problem	35
abstract_inverted_index.system,	62
abstract_inverted_index.unknown	61, 93, 109, 113
abstract_inverted_index.weights	114
abstract_inverted_index.approach	6, 31, 52, 97
abstract_inverted_index.assuming	77
abstract_inverted_index.dynamics	43, 110
abstract_inverted_index.features	91
abstract_inverted_index.function	18, 80, 117
abstract_inverted_index.proposed	51, 96, 125
abstract_inverted_index.proposes	2
abstract_inverted_index.provided	121
abstract_inverted_index.unknown.	45
abstract_inverted_index.weights,	94
abstract_inverted_index.approach.	126
abstract_inverted_index.iterative	5
abstract_inverted_index.nonlinear	21
abstract_inverted_index.objective	17, 79, 116
abstract_inverted_index.operator.	75
abstract_inverted_index.represent	70
abstract_inverted_index.situation	39
abstract_inverted_index.together.	118
abstract_inverted_index.Simulation	119
abstract_inverted_index.challenging	38
abstract_inverted_index.combination	89
abstract_inverted_index.observables	71
abstract_inverted_index.data-driven,	4
abstract_inverted_index.parameterized	85
abstract_inverted_index.representation	58, 106
cited_by_percentile_year
countries_distinct_count	0
institutions_distinct_count	3
citation_normalized_percentile